Danila Prikazchikov d.prikazchikov@keele.ac.uk
Explicit model for surface waves in a pre-stressed, compressible elastic half-space
Prikazchikov, D.A.
Authors
Abstract
The paper is concerned with the derivation of the hyperbolic-elliptic asymptotic model for surface wave in a pre-stressed, compressible, elastic half-space, within the framework of plane-strain assumption. The consideration extends the existing methodology of asymptotic theories for Rayleigh and Rayleigh-type waves induced by surface/edge loading, and oriented to extraction of the contribution of studied waves to the overall dynamic response. The methodology relies on the slow-time perturbation around the eigensolution, or, equivalently, accounting for the contribution of the poles of the studied wave. As a result, the vector problem of elasticity is reduced to a scalar one for the scaled Laplace equation in terms of the auxiliary function, with the boundary condition is formulated as a hyperbolic equation with the forcing terms. Moreover, hyperbolic equations for surface displacements are also presented. Scalar hyperbolic equations for surface displacements could potentially be beneficial for further development of methods of non-destructive evaluation.
Journal Article Type | Article |
---|---|
Acceptance Date | Apr 5, 2020 |
Publication Date | Aug 5, 2020 |
Journal | International Journal of Mathematics and Physics |
Print ISSN | 2218-7987 |
Peer Reviewed | Peer Reviewed |
Volume | 11 |
Issue | 1 |
Pages | 13 - 19 |
DOI | https://doi.org/10.26577/ijmph.2020.v11.i1.02 |
Publisher URL | https://doi.org/10.26577/ijmph.2020.v11.i1.02 |
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Publisher Licence URL
https://creativecommons.org/licenses/by-nc/4.0/
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